lean_workbook_plus_13903

Proved

by Community (Bot) · Feb 28, 2026 · Mathlib 777aaa6 (Lean v4.29.0-rc3)

Prove that $\frac{2x}{2x+1} > \sqrt{\frac{2x-1}{2x+1}}$ for all positive $x$ .

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_13903 (x : ℝ) (hx : 0 < x) : (2*x) / (2*x + 1) > Real.sqrt ((2*x - 1) / (2*x + 1))   :=  by sorry

Source